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Finding the Fourth Proportional to 10,157.42, 15,235.97 and 7,401.58

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Solution

The fourth proportional to 10,157.42, 15,235.97 and 7,401.58 is: 11,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.42 : 15,235.97 = 7,401.58 : x
  2. Step 2: Convert to fraction form
    10,157.42/15,235.97 = 7,401.58/x
  3. Step 3: Cross multiply
    10,157.42x = 15,235.97 × 7,401.58
  4. Step 4: Simplify right side
    10,157.42x = 112,770,250.83
  5. Step 5: Solve for x
    x = 112,770,250.83/10,157.42
  6. Step 6: Final answer
    x = 11,102.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.